Question

the sum of x-2y, x square + y, -2x square + y-x is ​

Answer 1

Step-by-step explanation:

S

n

=

r−1

a(r

n

−1)

when r>1

Where a= first term, n=n

th

term and r is common ratio

Given sequence (x+y),(x

2

+xy+y

2

),(x

3

+x

2

y+xy

2

+y

3

),.... to n terms.

Multiplying and dividing each term by (x−y), we get the given sum as

(x−y)

1

⋅{(x

2

−y

2

)+(x

3

−y

3

)+(x

4

−y

4

)+.... to n term}

=

(x−y)

1

⋅{(x

2

+x

3

+x

4

+... to n terms )−(y

2

+y

3

+y

4

+.... to n terms)}

=

(x−y)

1

⋅{x

2

(

x−1

x

n

−1

)−y

2

(

y−1

y

n

−1

)}.

Answer 2

Step-by-step explanation:

$x - 2y + {x}^{2} + y - 2 {x}^{2} y - x \\0x - y + {x}^{2} - 2 {x}^{2} y$